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Finding the Third Proportional to 301,024.69 and 412,789.92

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Solution

The third proportional to 301,024.69 and 412,789.92 is: 566,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,024.69 : 412,789.92 = 412,789.92 : x
  2. Step 2: Convert to fraction form
    301,024.69/412,789.92 = 412,789.92/x
  3. Step 3: Cross multiply
    301,024.69x = 412,789.92 × 412,789.92
  4. Step 4: Simplify right side
    301,024.69x = 170,395,519,601.57
  5. Step 5: Solve for x
    x = 170,395,519,601.57/301,024.69
  6. Step 6: Final answer
    x = 566,051.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.